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Finding the Fourth Proportional to 33,600, 50,332.80 and 20,444.16

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Solution

The fourth proportional to 33,600, 50,332.80 and 20,444.16 is: 30,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,600 : 50,332.80 = 20,444.16 : x
  2. Step 2: Convert to fraction form
    33,600/50,332.80 = 20,444.16/x
  3. Step 3: Cross multiply
    33,600x = 50,332.80 × 20,444.16
  4. Step 4: Simplify right side
    33,600x = 1,029,011,816.45
  5. Step 5: Solve for x
    x = 1,029,011,816.45/33,600
  6. Step 6: Final answer
    x = 30,625.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.